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Finding the Third Proportional to 540,396.56 and 1,164,296.53

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Solution

The third proportional to 540,396.56 and 1,164,296.53 is: 2,508,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,396.56 : 1,164,296.53 = 1,164,296.53 : x
  2. Step 2: Convert to fraction form
    540,396.56/1,164,296.53 = 1,164,296.53/x
  3. Step 3: Cross multiply
    540,396.56x = 1,164,296.53 × 1,164,296.53
  4. Step 4: Simplify right side
    540,396.56x = 1,355,586,412,680.78
  5. Step 5: Solve for x
    x = 1,355,586,412,680.78/540,396.56
  6. Step 6: Final answer
    x = 2,508,503.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.